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Bulletin of Irkutsk State University. Series Mathematics, 2024, Volume 47, Pages 12–30
DOI: https://doi.org/10.26516/1997-7670.2024.47.12 (Mi iigum552) 		 
Integro-differential equations and functional analysis

Identification of a mathematical model of economic development of two regions of the world

Mikhail V. Bezgachevabc, Maxim A. Shishleninabc, Alexander V. Sokolovdc

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russian Federation
b Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russian Federation
c Novosibirsk State University, Novosibirsk, Russian Federation
d Institute of Economics and Industrial Production Organization SB RAS, Novosibirsk, Russian Federation
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DOI: https://doi.org/10.26516/1997-7670.2024.47.12
Abstract: This paper is devoted to solving the inverse problem (determining the parameters of a system of ordinary differential equations based on additional information determined at discrete points in time) and analyzing its solution for a mathematical model describing the dynamics of changes in the population and capital of two regions of the world. The inverse problem is reduced to the problem of minimizing the target functional and is solved by the method of differential evolution. A numerical method for solving direct and inverse problems is implemented. The developed method was tested on model and real data for countries such as Russia, China, India and the USA.
Keywords: mathematical model, system of ordinary differential equations, population, economic development, inverse problem, direct problem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2021-947
121040100284-9
The work of M. V. Bezgachev and M. A. Shishlenin was carried out with the financial support of the Russian Federation represented by the Ministry of Education and Science of Russia, Agreement No. 075-15-2021-947. The work of A.V. Sokolov was carried out according to the plan of the Research Institute of IEPP SB RAS, the project “Integration and interaction of mesoeconomical systems and markets in Russia and its eastern regions: methodology, analysis, forecasting”, No. 121040100284-9.
Received: 14.10.2023
Revised: 01.12.2023
Accepted: 11.12.2023
Document Type: Article
UDC: 519.622
MSC: 34A55, 65L05, 65L09, 65K10, 91B62
Language: English
Citation: Mikhail V. Bezgachev, Maxim A. Shishlenin, Alexander V. Sokolov, “Identification of a mathematical model of economic development of two regions of the world”, Bulletin of Irkutsk State University. Series Mathematics, 47 (2024), 12–30
Citation in format AMSBIB
\Bibitem{BezShiSok24}
\by Mikhail~V.~Bezgachev, Maxim~A.~Shishlenin, Alexander~V.~Sokolov
\paper Identification of a mathematical model of economic development of two regions of the world
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2024
\vol 47
\pages 12--30
\mathnet{http://mi.mathnet.ru/iigum552}
\crossref{https://doi.org/10.26516/1997-7670.2024.47.12}
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